Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 454875, 14 pages
On the Asymptoticity Aspect of Hyers-Ulam Stability of Quadratic Mappings
1Department of Mathematics, Faculty of Basic Sciences, University of Maragheh, P.O. Box 55181-83111, Maragheh, Iran
2Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran
3College of Liberal Arts, Kyung Hee University, Yongin 446-701, Republic of Korea
Received 30 September 2010; Accepted 27 December 2010
Academic Editor: Shusen Ding
Copyright © 2010 A. Rahimi et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We investigate the Hyers-Ulam stability of the quadratic functional equation on restricted domains. Applying these results, we study of an asymptotic behavior of these quadratic mappings.